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2484639540 = 22325371931933
BaseRepresentation
bin1001010000011000…
…1001011100110100
320102011021202200200
42110012021130310
520042031431130
61050314240500
7115400042025
oct22406113464
96364252620
102484639540
111065572509
12594126130
133079b1a16
14197db2c4c
15e81e4760
hex94189734

2484639540 has 144 divisors (see below), whose sum is σ = 7784566608. Its totient is φ = 640991232.

The previous prime is 2484639511. The next prime is 2484639569. The reversal of 2484639540 is 459364842.

2484639540 is a `hidden beast` number, since 2 + 4 + 8 + 4 + 639 + 5 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2484639511) and next prime (2484639569).

It can be written as a sum of positive squares in 8 ways, for example, as 32012964 + 2452626576 = 5658^2 + 49524^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1284414 + ... + 1286346.

Almost surely, 22484639540 is an apocalyptic number.

2484639540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2484639540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3892283304).

2484639540 is an abundant number, since it is smaller than the sum of its proper divisors (5299927068).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2484639540 is a wasteful number, since it uses less digits than its factorization.

2484639540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178 (or 2173 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 2484639540 is about 49846.1587286322. The cubic root of 2484639540 is about 1354.4234490164.

The spelling of 2484639540 in words is "two billion, four hundred eighty-four million, six hundred thirty-nine thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 193 222 333 370 386 444 555 579 666 740 772 965 1110 1158 1332 1665 1737 1930 1933 2220 2316 2895 3330 3474 3860 3866 5790 5799 6660 6948 7141 7732 8685 9665 11580 11598 14282 17370 17397 19330 21423 23196 28564 28995 34740 34794 35705 38660 42846 57990 64269 69588 71410 71521 85692 86985 107115 115980 128538 142820 143042 173970 214230 214563 257076 286084 321345 347940 357605 373069 428460 429126 642690 643689 715210 746138 858252 1072815 1119207 1285380 1287378 1430420 1492276 1865345 2145630 2238414 2574756 3218445 3357621 3730690 4291260 4476828 5596035 6436890 6715242 7461380 11192070 12873780 13430484 13803553 16788105 22384140 27607106 33576210 41410659 55214212 67152420 69017765 82821318 124231977 138035530 165642636 207053295 248463954 276071060 414106590 496927908 621159885 828213180 1242319770 2484639540